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Finding the Fourth Proportional to 4,159.52, 5,740.12 and 2,296.52

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Solution

The fourth proportional to 4,159.52, 5,740.12 and 2,296.52 is: 3,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.52 : 5,740.12 = 2,296.52 : x
  2. Step 2: Convert to fraction form
    4,159.52/5,740.12 = 2,296.52/x
  3. Step 3: Cross multiply
    4,159.52x = 5,740.12 × 2,296.52
  4. Step 4: Simplify right side
    4,159.52x = 13,182,300.38
  5. Step 5: Solve for x
    x = 13,182,300.38/4,159.52
  6. Step 6: Final answer
    x = 3,169.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.